Multiple solutions for a Robin‐type differential inclusion problem involving the p(x)‐Laplacian

B Ge, QM Zhou - Mathematical Methods in the Applied …, 2017 - Wiley Online Library
In this paper, we obtain the existence of at least two nontrivial solutions for a Robin‐type
differential inclusion problem involving p (x)‐Laplacian type operator and nonsmooth …

Existence and nonexistence of solutions for the double phase problem

XF Cao, B Ge, WS Yuan - Results in Mathematics, 2021 - Springer
The aim of this paper is to establish the existence and the nonexistence of solutions for
double-phase problems depending on two parameters. This work improves and …

[PDF][PDF] Existence result for hemivariational inequality involving p (x)-Laplacian

S Barnaś - Opuscula Mathematica, 2012 - ruj.uj.edu.pl
In this paper we study the nonlinear elliptic problem with p (x)-Laplacian (hemivariational
inequality). We prove the existence of a nontrivial solution. Our approach is based on critical …

Existence of at least five solutions for a differential inclusion problem involving the p (x)-Laplacian

B Ge, X Xue, Q Zhou - Nonlinear Analysis: Real World Applications, 2011 - Elsevier
We studied a nonlinear Dirichlet problem driven by the p (x)-Laplacian and having a
nonsmooth potential (hemivariational inequalities). Using a variational method combined …

[PDF][PDF] Existence of solutions to hemivaritional inequalities involving the p (x)-biharmonic operator

M Alimohammady, F Fattahi - Electron. J. Diff. Equ, 2015 - emis.de
This article concerns the existence of solutions to boundary-value problems involving the p
(x)-biharmonic operator. Our technical approach is the variational-hemivariational inequality …

EXISTENCE THEOREM FOR DIRICHLET PROBLEM FOR DIFFERENTIAL INCLUSION DRIVEN BY THE p (x)-LAPLACIAN.

G Bin - Fixed Point Theory, 2016 - search.ebscohost.com
EXISTENCE THEOREM FOR DIRICHLET PROBLEM FOR DIFFERENTIAL INCLUSION
DRIVEN BY THE p(x)-LAPLACIAN Page 1 Fixed Point Theory, 17(2016), No. 2, 267-274 http://www.math.ubbcluj.ro/∼nodeacj/sfptcj.html …

Multiplicity results for p(x)-biharmonic equations with nonlinear boundary conditions

SH Rasouli - Applicable Analysis, 2023 - Taylor & Francis
In this paper, we are interested in the existence of multiple weak solutions of the following
fourth-order nonlinear elliptic problem with ap (x)-biharmonic operator {Δ p (x) 2 u= λ f (x)| u …

Existence of periodic solutions for a differential inclusion systems involving the p (t)-Laplacian

G Bin, X Xiaoping, Z Qingmei - Acta Mathematica Scientia, 2011 - Elsevier
We study a nonlinear periodic problem driven by the p (t)-Laplacian and having a
nonsmooth potential (hemivariational inequalities). Using a variational method based on …

ON THE SOLVABILITY OF VARIABLE EXPONENT DIFFERENTIAL INCLUSION SYSTEMS WITH MULTIVALUED CONVECTION TERM

B Ge, WS Yuan - Rocky Mountain Journal of Mathematics, 2023 - projecteuclid.org
The variable exponent differential inclusion systems with a multivalued reaction term
depending on the gradient are considered in this paper. Under general assumptions on the …

Differential inclusion obstacle problems with variable exponents and convection terms

B Ge, P Pucci - Authorea Preprints, 2022 - authorea.com
The elliptic obstacle problems with variable exponents and multivalued reaction terms,
depending on the gradient, are considered in this paper. Under general assumptions on the …